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Title | The Painlev?? Handbook |
Author(s) | Conte, Robert;Musette, Micheline |
Publication | Cham, Springer International Publishing, 2020. |
Description | XXXI, 389 p. 15 illus., 6 illus. in color : online resource |
Abstract Note | This book, now in its second edition, introduces the singularity analysis of differential and difference equations via the Painlev?? test and shows how Painlev?? analysis provides a powerful algorithmic approach to building explicit solutions to nonlinear ordinary and partial differential equations. It is illustrated with integrable equations such as the nonlinear Schr??dinger equation, the Korteweg-de Vries equation, H??non-Heiles type Hamiltonians, and numerous physically relevant examples such as the Kuramoto-Sivashinsky equation, the Kolmogorov-Petrovski-Piskunov equation, and mainly the cubic and quintic Ginzburg-Landau equations. Extensively revised, updated, and expanded, this new edition includes: recent insights from Nevanlinna theory and analysis on both the cubic and quintic Ginzburg-Landau equations; a close look at physical problems involving the sixth Painlev?? function; and an overview of new results since the book???s original publication with special focus on finite difference equations. The book features tutorials, appendices, and comprehensive references, and will appeal to graduate students and researchers in both mathematics and the physical sciences |
ISBN,Price | 9783030533403 |
Keyword(s) | 1. APPLIED MATHEMATICS
2. Chemometrics
3. Dynamical Systems and Ergodic Theory
4. DYNAMICS
5. EBOOK
6. EBOOK - SPRINGER
7. ENGINEERING MATHEMATICS
8. ERGODIC THEORY
9. Math. Applications in Chemistry
10. Mathematical and Computational Engineering
11. Mathematical Methods in Physics
12. MATHEMATICAL PHYSICS
13. PARTIAL DIFFERENTIAL EQUATIONS
14. PHYSICS
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Item Type | eBook |
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Circulation Data
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Call# | Status | Issued To | Return Due On | Physical Location |
I09128 |
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